FORMAL CLASSIFICATION OF TWO-DIMENSIONAL NEIGHBORHOODS OF GENUS g 2 CURVES WITH TRIVIAL NORMAL BUNDLE

In this paper we study the formal classification of two-dimensional neighborhoods of genus g >= 2 curves with trivial normal bundle. We first construct formal foliations on such neighborhoods with holonomy vanishing along many loops, then give the formal / analytic classification of neighborhoods equipped with two foliations, and finally put this together to obtain a description of the space of neighborhoods up to formal equivalence.